Hi I'm so sorry to hear that times are rough for you right now
Your not alone and babies are so much work and it can get extremely overwhelming and stressful very often!! Lots of hugs and positive vibes your way! I myself am going through the crazy roller coaster ride myself with my 2 month old!! Huuuuugs!!! It's rough!
I thought I would offer you some kind words to help ease some of your frustration, as I know some of the moms on here have helped me in the same! However, I'm not a pro here but I can offer a little insight and maybe you can see if it works for you! I do remember around that same time, my first (touchy for sleep, textbook baby) started getting a little separation anxiety! Maybe it can explain her wanting you near by at BT! A few ideas that can help is, if she has a small little blanket/doll or even a small piece of clothing you may own, wear it around all day (like in your bra or under your shirt someway) and then lay her down with it; it will have your scent and she can possibly be more at ease that way!
this won't last forever another thing to try is to maybe just stay by her side until she's drowsy and slowly slip away as she drifts off? Another suggestion is to distance yourself gradually throughout the next week or two if she continues. For example, the first few nights your right next to her, another 2-3 nights step back a bit... Till your eventually closer out the door but she knows your there- that's what matters.
Maybe another thing to consider here is teething! They can get super clingy and needy when they are in pain, poor babies! Perhaps medicating can help as well before BT/naps. Hope these little suggestions help! <3
As far as naps, I'm still struggling myself but I am aware that 20-30 min naps are over tired. Hopefully a moderator comes on by to help review your EASY to help out!
Much huuuugs and positivity your way! Hang in there xoxo